Laboratory testing and numerical simulation of properties and thermal-induced cracking of Eibenstock granite at elevated temperatures

The knowledge about thermo-mechanical properties of granite is still limited to some extent. Individual measurements are necessary to obtain reliable properties for specific granite types. A reliable numerical model of thermal cracking behaviours of granite exposed to extreme high temperatures (e.g. 800–1000 °C) is missing. In this study, the impact of temperature up to 1000 °C on physical, mechanical, and thermal properties as well as thermo-mechanical coupled behaviour of Eibenstock granite was investigated by laboratory testing and numerical simulations. The physical properties including mineral composition, density, P-wave velocity, and open porosity are measured to be temperature dependent. Uniaxial compression and Brazilian tests were carried out to measure uniaxial compressive strength (UCS), Young’s modulus, stress–strain relationship, and tensile strength of Eibenstock granite before and after thermal treatment, respectively. Thermal properties including specific heat, thermal conductivity, thermal diffusivity, and linear thermal expansion coefficient are also measured and found to be temperature dependent, especially the expansion coefficient which shows a steep increase around 573 °C as well as at 870 °C. The numerical simulation code FLAC^3D was used to develop a numerical scheme to simulate the thermal-induced damage of granite at high temperatures. Statistical methods combined with real mineral composition were used to characterize the heterogeneity of granite. The numerical model is featured with reliable temperature-dependent parameters obtained from laboratory tests. It can well reproduce the laboratory results in form of thermal-induced micro- and macrocracks, as well as the stress–strain behaviour and the final failure pattern of Eibenstock granite after elevated temperatures up to 1000 °C. The simulation results also reveal that the thermal-induced microcracks are randomly distributed across the whole sample. Although most thermal-induced damages are tensile failures, shear failure begins to develop quickly after 500 °C. The obvious UCS reduction in granite due to heating is mainly caused by the increase in shear failure. The simulation also shows that the dominant impact of α–β quartz transition is widening pre-existing cracks rather than the formation of new microcracks.

     

花岗岩力学特性的温度效应试验研究

通过实时高温（常温～850 ℃）加载和高温（常温～1 200 ℃）后冷却再加载两种情况下的单轴压缩试验,对不同高温下花岗岩的力学性质进行了研究,分析了两种情况下单轴抗压强度、弹性模量、纵波波速、剪切滑移应变等随温度的变化规律,并研究了热-力耦合效应。研究结果表明：（1）在实时高温加载作用下单轴抗压强度和弹性模量随着温度升高而发生连续劣化;（2）高温作用冷却后再加载,花岗岩在常温～600 ℃区间峰值强度变化不大,800 ℃左右岩样强度突然降低;（3）纵波波速随加热温度的升高而逐渐降低;（4）剪切滑移应变在800 ℃之前相对较小,且变化不大,之后便迅速增大,表现出明显的塑性;（5）提出了热-力耦合因子的概念,并借助其提出了一维非线性热-力耦合本构模型,模型曲线和试验曲线较吻合。     

循环扰动和高温作用下砂岩的岩爆倾向性及破坏特征研究

为了揭示循环扰动和高温影响下砂岩的岩爆机制,开展了循环扰动和高温作用下砂岩单轴压缩试验和CT扫描试验,研究了不同条件下砂岩的力学特性、岩爆倾向性及破坏特征,探讨了岩爆倾向性与破坏特征的关系。研究结果表明：循环扰动和高温对砂岩的力学性能及岩爆倾向性影响效果显著;无循环扰动砂岩的单轴抗压强度、弹性模量及岩爆倾向性随温度的升高呈先增加后降低的趋势,200℃为该类砂岩的阈值温度,受循环扰动砂岩的力学特性及岩爆倾向性随温度的上升而降低;而砂岩的力学特性及岩爆倾向性随循环应力幅值增加而下降;随着循环应力幅值和温度的增加,砂岩破坏模式由劈裂破坏向剪切破坏转变,同时砂岩的岩爆倾向性与裂隙三维分形维数呈良好的负相关关系;此外,高温对砂岩的力学性能、岩爆倾向性及破坏程度影响效果强于循环扰动。研究结果可为高温工程岩爆防治提供理论依据和工程参考价值。     

单轴压缩下高温后砂岩的声发射特征

通过在单轴压缩下实施的声发射测试,研究焦作砂岩受20～1 200 ℃温度作用后的声发射演变过程;结合不同温度下砂岩的力学性质,通过声发射参数分析研究砂岩在不同受力阶段的声发射特点。研究表明：400 ℃以内温度对砂岩的声发射影响不太明显,在100 ℃后和600 ℃后声发射振铃累计数均发生急剧变化,100 ℃是砂岩裂纹扩展发育的门槛值,600 ℃后砂岩内部结构成分发生了变化,声发射现象较为明显。600～1 200 ℃时,砂岩呈现出明显的脆塑性转变现象,高温导致声发射信号的时间有所推迟,声发射信号增长率不断上升。1 200 ℃后,砂岩释放密集的声发射信号,呈现出塑性破坏特征。     

某水电站坝基挠曲破碎带工程力学特性试验研究

膝状挠曲破碎带是某水电站坝基的主要工程地质问题。破碎带岩性为完整性较差的碎裂、碎屑软弱砂岩,并呈现孔隙式胶结接触,其工程力学特性对坝基变形和稳定存在巨大影响。基于破碎带砂岩组织结构疏松、含水率较高、物理力学性能较差等特点,首先开展了基本物理特性试验分析,认为岩石微细观结构复杂、渗透特性较好,属小孔隙率砂岩。其次,开展了室内常规和现场力学特性试验研究;最后,在宏观力学参数确定的基础上,探讨了破碎带对工程作用的响应及影响。结果表明,破碎带岩石内部结构破坏严重,矿物成分主要为石英、长石、绢云母等,化学成分以SiO2为主,但化学侵蚀并不显著。常规剪切曲线呈现出明显的4阶段特征,三轴压缩试验破坏机制为塑性剪切破坏,表现出强度低、延性扩容明显、出现屈服平台等特征,且碎裂岩强度略高于碎屑岩;现场试验表明岩体变形均匀,变形模量较低,处于60～630 MPa;地基承载力处于0.8～2.3 MPa。研究成果对该水电站坝基工程有重要的参考价值。     

Experimental study of thermal effects on the mechanical behaviour of a clay

The paper presents the results of an experimental study of thermal effects on the mechanical behaviour of a saturated clay. The study was performed on CM clay (Kaolin) using a temperature-controlled triaxial apparatus. Applied temperatures were between 22 and 90°C. A comprehensive experimental program was carried out, including: (i) triaxial shear tests at ambient and high temperatures for different initial overconsolidation ratios; (ii) consolidation tests at ambient and high temperatures; and (iii) drained thermal heating for different initial overconsolidation ratios. The obtained results provide observations concerning a wide scope of the thermo-mechanical behaviour of clays. Test results obtained at 90°C were compared with tests performed at ambient temperature. Based on these comparisons, thermal effects on a variety of features of behaviour are presented and discussed. Focus is made on: (i) induced thermal volume change during drained heating; (ii) experimental evidence of temperature influence on preconsolidation pressure and on compressibility index; (iii) thermal effects on shear strength and critical state; and (iv) thermal effects on elastic modulus. Thermal yielding is discussed and yield limit evolution with temperature is presented. The directions of the induced plastic strains are also discussed. Several remarks on the difference in the mechanical behaviour at ambient and high temperatures conclude the paper. Copyright © 2004 John Wiley & Sons, Ltd.     

川西须家河组致密砂岩高温后的物理力学特征参数试验研究

为了在井下加热改善近井区域渗流能力以提高低渗透油气藏开采效率的同时保证井壁稳定,研究了高温对四川隆昌须家河组须二段致密砂岩微观结构、 力学性质及渗透性的影响,对26～1000℃高温处理后的试样进行了热重分析、电镜扫描分析(SEM)、声波测试、物理参数测定、单轴压缩试验及渗透率测试,分析高温后试样的组分、 微观结构、 力...     

Geological Controls on High Production of Tight Sandstone Gas in Linxing Block,Eastern Ordos Basin,China

Tight sandstone gas in the Linxing Block, eastern Ordos Basin, has been successfully exploited. The high performance is mainly a result of the special geological conditions. The key geological controls for high production have been discussed on the basis of seismic data, field observation, sample features, mercury porosimetry, mechanical properties, and basin modeling. Firstly, the coal measures have good gas generation potential, not only because of the existence of coalbeds and organic-rich shales, but also because coal laminae and microbial mats in the shales significantly increase their total organic carbon(TOC) contents. Secondly, except for the uplifted zone of the Zijinshan complex and the eastern fault zone, rare large faults develop in the Carboniferous–Permian sequence, ensuing the sealing capacity of cap rock. Small fractures generally concentrated in the sandstones rather than the mudstones. Thirdly, gas accumulation in the Linxing Block was controlled by the tectonic, burial and thermal histories. Gas accumulation in the Linxing Block started in the Late Triassic, followed by three short pauses of thermal maturation caused by relatively small uplifts;the maximum hydrocarbon generation period is the Early Cetaceous as a combined result of regional and magmatic thermal metamorphisms. Field profiles show abundant fractures in sandstone beds but rare fractures in mudstone beds. Mechanical properties, determined by lithostratigraphy, confine the fractures in the sandstones, increasing the permeability of sandstone reservoirs and retaining the sealing capacity of the mudstone cap rocks. The modern ground stress conditions favor the opening of predominant natural fractures in the NNW-SSE and N-S directions. These conclusions are useful for exploring the potential tight sandstone gas field.     

边缘裂缝圆盘砂岩试体III型断裂韧度量测之研究

针对含边缘裂缝之砂岩试体受反平面剪力情形进行了III型断裂韧度量测试验,搭配相关所推导之理论公式求取砂岩III型断裂韧度。研究试验条件为无围压及单轴荷重加载下进行III型断裂试验,且针对试体受高温后之性质改变为变量条件加以探讨。研究结果表明,以该方式进行III型断裂韧度之量测,为可靠且稳定;砂岩经历温度在200 ℃前,试体III型断裂韧度会提升,之后呈现下降,到600 ℃,下降趋于平缓;随着烧结温度的提升,单压强度、动态杨氏模量、动态泊松比与III型断裂韧度皆有下降之趋势,且试体出现熔融样态,表面出现明显微裂纹。     

Porosity and wave velocity evolution of granite after high-temperature treatment: a review

The evolution of porosity and changes in wave velocity in granite after high-temperature treatment has been experimentally investigated in different studies. Statistical analysis of the test results shows that there is a temperature threshold value that leads to variations in porosity and wave velocity. At a temperature that is less than 200 °C, the porosity of granite slowly increases with increases in temperature, while the wave velocity decreases. When the temperature is greater than 200 °C (especially between 400 and 600 °C), the porosity quickly increases, while the wave velocity substantially decreases. The temperature ranges of room temperature to 200 and 200–400 °C correspond to the undamaged state and the micro-damage state, respectively. The results confirm that there is an important link between the variations of physical and mechanical properties in response to thermal treatment. By studying the relationships among rock porosity, wave velocity and temperature, this provides the basis for solving multi-variable coupling problems under high temperatures for the thermal exploitation of petroleum and safe disposal of nuclear waste.     

碎屑砂岩三轴压缩下强度和变形特性试验研究

基于碎屑岩组织结构疏松、含水率较高、物理力学性能较差、呈孔隙式胶结接触等特点,对碎屑砂岩首先开展了物理特性试验分析,认为其微、细观结构复杂、内部破坏严重,矿物成分为石英、长石、绢云母等,化学成分以SiO2为主,属微透水、小孔隙率砂岩,且渗水化学侵蚀并不显著。其次,开展了静水压力、单轴压缩和三轴压缩试验,研究了碎屑砂岩的强度和变形破坏特性。最后,初步探索了物理特性与强度变形特性的关系。结果表明,静水压力为2.6 MPa时,岩样内部微缺陷压密完成;单轴压缩曲线呈明显6阶段特征,峰值应力达0.98 MPa,属脆-延性破坏;三轴压缩条件下,岩样呈压缩为主的延性扩容破坏,轴向压缩和环向体积扩容达6%和4%;曲线无明显破坏荷载,呈现非线性、塑性硬化、存在屈服平台和体积由压缩向扩容过渡等特性。且体积扩容破损应力与屈服应力基本相同,扩容转折点随围压增加而增大,围压可增强岩样抵抗变形破坏的能力。试验结果旨在为岩石工程稳定分析及本构模型构建提供可靠的依据。     

Effect of Temperature on the Strength Parameters at the Plastic Domain for Unconsolidated Sandstones

Heavy and extra heavy oil reservoirs are subjected to high temperatures during thermal recovery processes like SAGD and CSS. In-situ temperature state changes throughout these operations may generate variations in the mechanical properties or strength parameters of the rock such as Young and Bulk’s modulus, internal friction angle, cohesion and dilation angle. This paper presents results about the variation of the elastic modulus and mechanical properties, in both elastic and plastic region due to changes in temperature and effective confining stress for reconstituted samples of Colombian unconsolidated sands. In order to study these changes, several drained triaxial tests are performed in a range of temperature between 50 and 230 °C and a range of effective confining stress between 0.4 and 8.2 MPa, these tests are carried out on reconstituted samples of oil sands recovered in an outcrop in the Magdalena middle valley of Colombia. The experimental results are analyzed with an analytical model based on the constitutive model of Mohr–Coulomb. The analysis is divided in two ways: First, the elastic region is analyzed calculating the variation of the elastic modulus (Young and bulk’s modulus) and the mechanical parameters (cohesion and internal friction angle) with temperature and effective confining stress, these calculus are done in the linear zone of the stress–strain curve. Then, the plastic region is analyzed using Mohr–Coulomb constitutive model with a non-associative flow rule in order to represent in a better way the dilatant/contractive behavior of the material, from this analysis is possible to obtain the behavior of the mechanical properties during plastic strains. The stress–strain curves obtained from the triaxial compression tests show that for the highest and medium effective confining stress (8.2 and 4.0 MPa), there is a hardening strain behavior after the yielding point that implies a loose sand behavior under confining conditions. Meanwhile, for lowest effective confining stress (0.4 MPa) the samples show a softening strain, a typical behavior for dense sands under confining conditions.     

The Effects of Temperature and Pressure on the Porosity Evolution of Flechtinger Sandstone

A porosity change influences the transport properties and the elastic moduli of rock while circulating water in a geothermal reservoir. The static and dynamic elastic moduli can be derived from the slope of stress–strain curves and velocity measurements, respectively. Consequently, the acoustic velocities were measured while performing hydrostatic drained tests. The effect of temperature on static and dynamic elastic moduli and porosity variations of Flechtinger sandstone was investigated in a wide range of confining pressure from 2 to 55 MPa. The experiments were carried out in a conventional triaxial system whereas the pore pressure remained constant, confining pressure was cycled, and temperature was increased step wise (25, 60, 90, 120, and 140 °C). The porosity variation was calculated by employing two different theories: poroelasticity and crack closure. The porosity variation and crack porosity were determined by the first derivative of stress–strain curves and the integral of the second derivative of stress–strain curves, respectively. The crack porosity analysis confirms the creation of new cracks at high temperatures. The porosity variation was increasing with an increase in temperature at low effective pressures and was decreasing with a rise in temperature at high effective pressures. Both compressional and shear wave velocities were increasing with increasing pressure due to progressive crack closure. Furthermore, the thermomechanical behavior of Flechtinger sandstone was characterized by an inversion effect where the sign of the temperature derivative of the drained bulk modulus changes.     

砂岩的高温损伤与模量分析

通过定义砂岩试样压缩破坏过程的4个阶段模量,对高温（25℃～1 000℃）后砂岩压缩破坏的应力-应变全过程进行定量研究。分析砂岩高温后的模量特征和超声特性,并基于压缩模量定义高温作用后砂岩试样的热损伤因子,对不同温度作用后的砂岩试样进行损伤分析,发现高温后砂岩压缩破坏具有明显的阶段性特征;4个阶段的阶段模量随温度的变化规律各有不同;压密模量与纵波波速具有很强的相关性;基于压密模量定义的高温后砂岩试样热损伤因子避开了基于纵波波速定义方法,未考虑温度对密度和泊松比影响的缺陷,更具科学性;25～200 ℃温度区间内砂岩试样热损伤对温度最敏感。研究成果对高温环境岩石工程具有一定的指导意义。     

Preliminary observations on the impact of complex stress histories on sandstone response to salt weathering: laboratory simulations of process combinations

Historic sandstone structures carry an inheritance, or a ‘memory’, of past stresses that the stone has undergone since its placement in a façade. This inheritance, which conditions present day performance, may be made up of long-term exposure to a combination of low magnitude background environmental factors (for example, salt weathering, temperature and moisture cycling) and, superimposed upon these, less frequent but potentially high magnitude events or ‘exceptional’ factors (for example, lime rendering, severe frost events, fire). The impact of complex histories on the decay pathways of historic sandstone is not clearly understood, but this paper seeks to improve that understanding through the use of a laboratory ‘process combination’ study. Blocks of quartz sandstone (Peakmoor, from NW England) were divided into subsets that experienced different histories (lime rendering and removal, fire and freeze–thaw cycles in isolation and combination) that reflected the event timeline of a real medieval sandstone monument in NE Ireland, Bonamargy Friary (McCabe et al. 2006b). These subsets were then subject to salt weathering cycles using a 10% salt solution of NaCl and MgSO₄ that represents the ‘every-day’ stress environment of, for example, sandstone structures in coastal, or polluted urban, location. Block response to salt weathering was monitored by collecting, drying and weighing the debris that was released as blocks were immersed in the salt solution at the beginning of each cycle. The results illustrate the complexity of the stone decay system, showing that seemingly small variations in stress history can produce divergent response to salt weathering cycles. Applied to real-world historic sandstone structures, this concept may help to explain the spatial and temporal variability of sandstone response to background environmental factors on a single façade, and encourage conservators to include the role of stress inheritance when selecting and implementing conservation strategies.     

Finite-element modelling of the conservation effects of an artificial resin on deteriorated heterogeneous sandstone in building restoration

Besides experimental investigations related to the strengthening effects of resins to natural stone, there have been hardly any numerical simulations conducted to the effects of the conservation on the mechanical behaviour of conserved objects. In the present study a three-dimensional finite element code MASA was used to investigate the influence of the conservation procedure on the mechanical properties of the natural stone. The finite element code is based on the microplane material model. As a localization limiter the crack band method was used. A typical profile of sandstone resembling parts of a sculpture—with scaling, sandy decay and sound zones was discretized by solid finite elements. Varied were material properties, temperature distribution over the depth of the specimen, cyclic effects due to the temperature variation and geometry of the specimen. Numerical results show that as a consequence of change of material properties after conservation procedure the cracks can be generated under environmental conditions that are most likely possible in practice. This is especially true for extreme temperature gradients, for repeated temperature conditions (cyclic loading) and for complex geometries. The numerical results have been partly verified by experiments.     

酸性环境干湿循环对泥质砂岩力学特性影响的试验研究

由于库水位升降及降雨等原因,岩体经常处于干湿交替状态,对岩体工程的长期稳定性不利。以三峡库区泥质砂岩为研究对象,进行了酸性环境干湿循环交替作用后的常规单轴与三轴压缩试验研究,获得了泥质砂岩在酸性溶液浸泡干湿循环后的相关力学参数。相对于没有经过干湿循环作用的干燥试件,经过不同次数的干湿循环作用后,泥质砂岩的弹性模量、单轴抗压强度、黏聚力与内摩擦角都有不同程度的降低。各个力学指标的总体变化趋势是在第一次饱水之后有大幅度的降低,此后随着干湿循环次数的增加其降低的幅度逐渐减小。同时,酸性溶液的pH值对力学指标的影响很大,存在对泥质砂岩力学性能影响较大的一个临界pH值,低于此值酸性溶液对泥质砂岩力学性能影响显著增大,高于此值酸性溶液对其力学性能影响较小。     

石灰岩和砂岩高温力学特性的试验研究

利用自行研制的岩石加温装置和RMT-150C岩石力学试验机, 对石灰岩和砂岩试样高温后的力学特性进行了试验研究。试验结果表明, 随着温度升高, 两种岩石纵波波速逐渐减小。单轴压缩过程中的全程应力应变曲线经历了压密、弹性、屈服、破坏4个阶段; 达到峰值应力后两种岩石均发生脆性破坏, 砂岩破坏时呈锥形炸裂, 而石灰岩则呈草捆状破坏。高温对两种岩石的强度都有一定的弱化作用, 其峰值应力都随温度升高而降低, 石灰岩700 ℃时强度降幅达84.59 %, 而砂岩强度仅比常温降低22 %左右。两种岩石的峰值应变都随温度升高逐渐增大, 但具体表现不尽相同, 石灰岩500 ℃时应变增加了30.57 %, 500 ℃之后峰值应变基本无变化, 甚至到700 ℃时还略有降低; 砂岩700 ℃时峰值应变增加了80.63 %, 其峰值应变的变化与其微观结构变化相关。随着温度升高, 两种岩石的弹性模量和变形模量均减小, 700 ℃时石灰岩弹性模量降幅为86.8 %, 砂岩弹性模量降幅为46.94 %; 700 ℃时石灰岩变形模量下降了83.9 %, 砂岩的变形模量下降了53.06 %。      

热-应力-损伤耦合作用下深埋隧洞围岩稳定性分析

以热力学和弹塑性力学理论为基础,分析岩石热-力完全耦合作用及其对力学参数和热特性参数的影响,建立了岩石热-力-损伤耦合模型及其参数演化方程,以ABAQUS软件为平台对其进行二次开发,并通过典型算例验证了岩石热-力完全耦合的重要性。然后以某深埋软岩隧洞为例,研究温度和开挖卸载共同作用下的隧洞围岩力学行为和损伤过程。计算结果表明：温度对岩石的力学性质和损伤演化过程影响显著,开挖损伤和热应力诱发的损伤对围岩热力学参数的影响不可忽略;所提出的力学模型可以有效反映围岩损伤演化、调热圈演化以及热力学参数演化,具有一定的借鉴作用。     

库车盆地白垩系碎屑白云母物源区示踪与构造意义

沉积盆地碎屑岩记录了相邻造山带构造演化及隆升剥蚀的重要信息。本文对库车盆地白垩系砂岩中的白云母进行了电子探针及~(40)Ar/~(39)Ar定年分析,并与天山造山带的数据对比研究表明:库车盆地白垩系砂岩中白云母为多硅白云母,硅原子数小于西南天山蓝片岩及榴辉岩中的多硅白云母,形成时的压力低于目前保留在西南天山蓝片岩中多硅白云母;白垩系砂岩多硅白云母~(40)Ar/~(39)Ar年龄为396.6 Ma,与在低温高压变质带中获得的多硅白云母~(40)Ar/~(39)Ar年龄419~310Ma一致,表明了在白垩纪西南天山低温高压变质岩带已抬升至地表遭受剥蚀,为库车盆地提供大量的物质,也表明了在白垩纪西南天山低温高压变质岩带高度(海拔)高于其南部的哈尔克山,而现今天山地貌形态显示低温高压变质岩海拔低于哈尔克山,这可能是由于新生代天山地区差异隆升剥蚀引起的。